This graduation thesis comprises the range of possible design solutions for reinforced concrete slab structures with an emphasis on the ribbed and the waffle slabs. The scope of an application of such slabs has been shown, along with the design process, and preparation of a numerical model for the finite element analysis. The comparison of computational models for ribbed slabs has been made and the influence of different distances between ribs on the entire structure has been analysed. A comparison of different systems of ribbed slabs with band beams and drop panels has been made. The advantages and disadvantages of ribbed and waffle have been discussed in comparison to flat slabs.